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Finding the Fourth Proportional to 253,682.94, 350,088.11 and 144,785.11

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Solution

The fourth proportional to 253,682.94, 350,088.11 and 144,785.11 is: 199,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,682.94 : 350,088.11 = 144,785.11 : x
  2. Step 2: Convert to fraction form
    253,682.94/350,088.11 = 144,785.11/x
  3. Step 3: Cross multiply
    253,682.94x = 350,088.11 × 144,785.11
  4. Step 4: Simplify right side
    253,682.94x = 50,687,545,930.67
  5. Step 5: Solve for x
    x = 50,687,545,930.67/253,682.94
  6. Step 6: Final answer
    x = 199,806.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.